The Excitation Spectrum for Weakly Interacting Bosons

Abstract

We investigate the low energy excitation spectrum of a Bose gas with weak, long range repulsive interactions. In particular, we prove that the Bogoliubov spectrum of elementary excitations with linear dispersion relation for small momentum becomes exact in the mean-field limit.

LaTeX, 13 pages; Typos corrected, Remarks and References added

References in corpus (4)

• On the Mean-Field Limit of Bosons with Coulomb Two-Body Interaction
• The Second Order Upper Bound for the Ground Energy of a Bose Gas
• The ground state energy of a low density Bose gas: a second order upper bound
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